SOLUTION: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 8 cos 3θ

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Question 1140689: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 8 cos 3θ
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.



about the x-axis:
It is symmetric about the -axis because .

about the y-axis:
It symmetric about the -axis because .

about origin:
for plug in

=>
it is symmetric about the because .




Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 8 cos 3θ
~~~~~~~~~~~~~~~~~~~~


The answers by tutor  @MathLover1  are   I N C O R R E C T.

What is even worst,  all her argumentation is   W R O N G.


To find the correct answers,  look into the figure of the web-page

https://www.youtube.com/watch?v=BAiTTMDCNhI

where the plot of the function is shown.


The correct answers are: 

    is the graph symmetric about x-axis ?     - YES.


    is the graph symmetric about y-axis ?     - NO.


    is the graph symmetric about the origin ? - NO.


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